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Associative memory Hamiltonian structure prediction potentials are not overly rugged, thereby suggesting their landscapes are like those of actual proteins. In the present contribution we show how basin-hopping global optimization can…

Biomolecules · Quantitative Biology 2009-11-13 Michael C. Prentiss , David J. Wales , Peter G. Wolynes

Optimization of non-convex loss surfaces containing many local minima remains a critical problem in a variety of domains, including operations research, informatics, and material design. Yet, current techniques either require extremely high…

Machine Learning · Computer Science 2021-07-21 Amil Merchant , Luke Metz , Sam Schoenholz , Ekin Dogus Cubuk

A method is presented that can find the global minimum of very complex condensed matter systems. It is based on the simple principle of exploring the configurational space as fast as possible and of avoiding revisiting known parts of this…

Materials Science · Physics 2007-05-23 Stefan Goedecker

We present an adaptive and parallel implementation of the Basin Hopping (BH) algorithm for the global optimization of atomic clusters interacting via the Lennard-Jones (LJ) potential. The method integrates local energy minimization with…

An analysis of the network defined by the potential energy minima of multi-atomic systems and their connectivity via reaction pathways that go through transition states allows to understand important characteristics like thermodynamic,…

Materials Science · Physics 2016-08-03 Bastian Schaefer , Stefan Goedecker

FLAME is a software package to perform a wide range of atomistic simulations for exploring the potential energy surfaces (PES) of complex condensed matter systems. The range of methods include molecular dynamics simulations to sample free…

The Minima Hopping global optimization method uses physically realizable molecular dynamics moves in combination with an energy feedback that guarantees the escape from any potential energy funnel. For the purpose of finding reactions…

Materials Science · Physics 2014-06-05 Bastian Schaefer , Stephan Mohr , Maximilian Amsler , Stefan Goedecker

Predicting atomic-scale interfacial structures remains a central challenge in materials science due to their structural complexity and the difficulty of direct comparison between computational and experimental results. In this study, we…

Recently a non-empirical stochastic walker algorithm has been developed to search for the minimum-energy escape paths (MEP) from the minima of the potential surface [J. Phys. Soc. Jpn. 87, 063801 (2018); Physica A, 528, 121481 (2019)]. This…

Computational Physics · Physics 2020-06-18 Yuri S. Nagornov , Ryosuke Akashi

We created a computational workflow to analyze the potential energy surface (PES) of materials using machine-learned interatomic potentials in conjunction with the minima hopping algorithm. We demonstrate this method by producing a…

Materials Science · Physics 2025-02-14 Hossein Tahmasbi , Kushal Ramakrishna , Mani Lokamani , Attila Cangi

Anticipating the low energy arrangements of atoms in space is an indispensable scientific task. Modern stochastic approaches to searching for these configurations depend on the optimisation of structures to nearby local minima in the energy…

Materials Science · Physics 2019-02-07 Chris J. Pickard

We compare Evolutionary Algorithms with Minima Hopping for global optimization in the field of cluster structure prediction. We introduce a new {\em average offspring} recombination operator and compare it with previously used operators.…

Other Condensed Matter · Physics 2009-11-13 Sandro E. Schoenborn , Stefan Goedecker , Shantanu Roy , Artem R. Oganov

A structure prediction method is presented based on the Minima Hopping method. Optimized moves on the configurational enthalpy surface are performed to escape local minima using variable cell shape molecular dynamics by aligning the initial…

Materials Science · Physics 2013-07-02 Maximilian Amsler , Stefan Goedecker

We present a novel method, which we call dual minima hopping method (DMHM), that allows us to find the global minimum of the potential energy surface (PES) within density functional theory for systems where a fast but less accurate…

Other Condensed Matter · Physics 2009-11-11 Stefan Goedecker , Waldemar Hellmann , Thomas Lenosky

Global optimization is a challenging problem, with plenty of algorithms displaying empirical success, but scarce theoretical backing. In this work, we propose a new theoretical framework called Proximal Basin Hopping (PBH), carefully…

Machine Learning · Computer Science 2026-05-19 Guillaume Lauga , Cesare Molinari , Samuel Vaiter

Theoretical design of global optimization algorithms can profitably utilize recent statistical mechanical treatments of potential energy surfaces (PES's). Here we analyze the basin-hopping algorithm to explain its success in locating the…

Statistical Mechanics · Physics 2007-05-23 Jonathan Doye , David Wales , Mark Miller

We describe a global optimization technique using `basin-hopping' in which the potential energy surface is transformed into a collection of interpenetrating staircases. This method has been designed to exploit the features which recent work…

Condensed Matter · Physics 2007-05-23 David Wales , Jonathan Doye

Modern HPC systems are increasingly relying on greater core counts and wider vector registers. Thus, applications need to be adapted to fully utilize these hardware capabilities. One class of applications that can benefit from this increase…

Distributed, Parallel, and Cluster Computing · Computer Science 2023-06-16 James Vance , Zhen-Hao Xu , Nikita Tretyakov , Torsten Stuehn , Markus Rampp , Sebastian Eibl , Christoph Junghans , André Brinkmann

Global optimization is an active area of research in atomistic simulations, and many algorithms have been proposed to date. A prominent example is basin hopping Monte Carlo, which performs a modified Metropolis Monte Carlo search to explore…

Chemical Physics · Physics 2020-02-04 Martín Leandro Paleico , Jörg Behler

Basin-Hopping (BH) or Monte-Carlo Minimization (MCM) is so far the most reliable algorithms in chemical physics to search for the lowest-energy structure of atomic clusters and macromolecular systems. BH transforms the complex energy…

Materials Science · Physics 2009-11-10 Masao Iwamatsu , Yutaka Okabe
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